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  • The density of a gas A is thrice that of a gas B at the same temperature .The molecular weight of gas B is twice that of A.What will the ratio of the pressure acting on A and B is _____<div cla

The density of a gas A is thrice that of a gas B at the same temperature .The molecular weight of gas B is twice that of A.What will the ratio of the pressure acting on A and B is _____

Option: 1

\frac{1}{4}


Option: 2

\frac{7}{8}


Option: 3

\frac{2}{5}


Option: 4

\frac{1}{6}


Answers (1)

best_answer

\mathrm{\frac{d}{P}=\frac{M}{R T}}

Let density of gas B be d 

\mathrm{\therefore } of gas A =3d

and molecular weight of A be M and molecular of B will be 2 M,

Since,

R is gas constant and T is same for both gases, so ____

\mathrm{\begin{aligned} P_A=\frac{d_A R T}{M_A} & \therefore \frac{P_B}{P_A}=\frac{d_B}{d_A} \times \frac{M_A}{M_B} & =\frac{d}{3 d} \times \frac{M}{2 M} \\ P_B=\frac{d_B R T}{M_B} & &= \frac{1}{6} \end{aligned}}

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Nehul

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